Here, \(\gamma \)  is the ratio between the porous medium heat capacity and the fluid heat capacity, \(K\)  is the effective thermal conductivity, and \({f_c}^*\)  is a sink/source. We follow [1]} and define dimensionless variables as follows
\( \mathbf {X}:=\frac{1}{H} \mathbf {X}^{*}, \quad t:=\frac{\kappa }{\mu \gamma H^{2}} t^{*}, \quad p:=\frac{\kappa }{K} p^{*}, \quad \mathbf {u}:=\frac{H}{K} \mathbf {u}^{*}, \quad T:=\frac{T^{*}-T_{0}^{*}}{\Delta T^{*}}, \quad f_c:=\frac{t^*}{\Delta T^{*}}{f_c}^*,\) 
